Fixed points and sets of multivalued contractions: An advanced survey with some new results
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609732" target="_blank" >RIV/61989592:15310/21:73609732 - isvavai.cz</a>
Result on the web
<a href="http://www.math.ubbcluj.ro/~nodeacj/volumes/2021-No1/211-and-fis-gor-4000-final.php" target="_blank" >http://www.math.ubbcluj.ro/~nodeacj/volumes/2021-No1/211-and-fis-gor-4000-final.php</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.24193/fpt-ro.2021.1.02" target="_blank" >10.24193/fpt-ro.2021.1.02</a>
Alternative languages
Result language
angličtina
Original language name
Fixed points and sets of multivalued contractions: An advanced survey with some new results
Original language description
The existence of fixed points and, in particular, coupled fixed points is investigated for multivalued contractions in complete metric spaces. Multivalued coupled fractals are furthermore explored as coupled fixed points of certain induced operators in hyperspaces, i.e. as coupled compact subsets of the original spaces. The structure of fixed point sets is considered in terms of absolute retracts. We also formulate a continuation principle for multivalued contractions as a nonlinear alternative based on the topological essentiality. Two illustrative examples about coupled multivalued fractals are supplied.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fixed Point Theory
ISSN
1583-5022
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
1
Country of publishing house
RO - ROMANIA
Number of pages
16
Pages from-to
15-30
UT code for WoS article
000627593500002
EID of the result in the Scopus database
2-s2.0-85108404104